| 次线性期望空间下行END阵列的完全积分收敛性 |
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| 引用本文： | 王瑞雪,吴群英.次线性期望空间下行END阵列的完全积分收敛性[J].应用数学,2019,32(1):234-241. |
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| 作者姓名： | 王瑞雪 吴群英 |
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| 作者单位： | 桂林理工大学理学院 |
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| 基金项目： | 国家自然科学基金资助项目(11661029) |
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| 摘 要： | 研究次线性期望空间下随机变量序列的完全积分收敛性,在一般矩条件下,利用指数不等式和截尾法得到了次线性期望空间下行END阵列的完全积分收敛性,从而推广了次线性期望空间下随机变量序列的完全积分收敛性.
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| 关 键 词： | 次线性期望 容度 完全积分收敛 广义负相关 |
| 收稿时间： | 2018/4/28 0:00:00 |
The Complete Integration Convergence for Arrays of Row-Wise Extended Negatively Dependent Random Variables Under Sub-Linear Expectations |
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| WANG Ruixue,WU Qunying.The Complete Integration Convergence for Arrays of Row-Wise Extended Negatively Dependent Random Variables Under Sub-Linear Expectations[J].Mathematica Applicata,2019,32(1):234-241. |
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| Authors: | WANG Ruixue WU Qunying |
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| Institution: | (College of Science,Guilin University of Technology,Guilin 541O04,China) |
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| Abstract: | We study the complete integration convergence for sequences of random variables under sub-linear expectations.By using the exponenty inequalities and the method of truncation,we obtained the complete integration convergence for arrays of row-wise extended negatively dependent random variables for sub-linear expectation space under a general moment condition.Thus,the complete integration convergence for sequence of random variables under sub-linear expectation space was generalized. |
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| Keywords: | Sub-linear expectation Capacity Complete integration convergence Extended negative dependence |
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